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Finding the Fourth Proportional to 122,165.44, 184,080.46 and 100,464.96

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Solution

The fourth proportional to 122,165.44, 184,080.46 and 100,464.96 is: 151,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,165.44 : 184,080.46 = 100,464.96 : x
  2. Step 2: Convert to fraction form
    122,165.44/184,080.46 = 100,464.96/x
  3. Step 3: Cross multiply
    122,165.44x = 184,080.46 × 100,464.96
  4. Step 4: Simplify right side
    122,165.44x = 18,493,636,050.68
  5. Step 5: Solve for x
    x = 18,493,636,050.68/122,165.44
  6. Step 6: Final answer
    x = 151,381.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.